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奇点共轭的二次包络实现及其几何性态分析
引用本文:阎长罡,刘健,曹利新.奇点共轭的二次包络实现及其几何性态分析[J].大连理工大学学报,2000,40(2):187-189,240.
作者姓名:阎长罡  刘健  曹利新
作者单位:大连理工大学,机械工程学院,辽宁,大连,116024
摘    要:证明了在任意交叉角、母面为任意曲面的一般条件下 ,二次包络都必然可以形成奇点共轭 ;并给出了瞬时接触线的具体表达式 .构造了一映射空间 ,在此空间内的分析表明 ,奇点邻域接触线的几何性态与映射曲面的微分结构存在必然的联系

关 键 词:奇点共轭  二次包络  几何性状  啮合传动  接触线

Realization of double envelope and geometric properties of conjugation in singular point
YAN Chang-gang,LIU Jian,CAO Li-xin.Realization of double envelope and geometric properties of conjugation in singular point[J].Journal of Dalian University of Technology,2000,40(2):187-189,240.
Authors:YAN Chang-gang  LIU Jian  CAO Li-xin
Abstract:It has been proved that the conjugation in singular point must be formed on conditions that crossing angle and generating surface are arbitrary.The concrete expressions of the instantaneous contact curves have been represented. Mapping space is given.Under this space, the certain relations between the geometric properties of the singular point neighbourhood contact curves and the differential construction of the mapping surface are tested.
Keywords:conjugation in singular point/double envelopement  geometric properties
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